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Finding the Fourth Proportional to 654.73, 980.05 and 345.82

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Solution

The fourth proportional to 654.73, 980.05 and 345.82 is: 517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.73 : 980.05 = 345.82 : x
  2. Step 2: Convert to fraction form
    654.73/980.05 = 345.82/x
  3. Step 3: Cross multiply
    654.73x = 980.05 × 345.82
  4. Step 4: Simplify right side
    654.73x = 338,920.06
  5. Step 5: Solve for x
    x = 338,920.06/654.73
  6. Step 6: Final answer
    x = 517.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.